The $\mathrm{MINER}\nu \mathrm{A}$ experiment reports double-differential cross-section measurements for ${\nu }_{\mu }$-carbon interactions with three-momentum transfer $|\overrightarrow{q}|<1.2\mathrm{GeV}$ obtained with medium energy exposures in the NuMI beam. These measurements are performed as a function of the three-momentum transfer and an energy transfer estimator called the available energy defined as the energy that would be visible in the detector. The double-differential cross sections are compared to the genie and nuwro predictions along with the modified version of genie which incorporates new models for better agreement with earlier measurements from $\mathrm{MINER}\nu \mathrm{A}$. In these measurements, the quasielastic, resonance, and multinucleon knockout processes appear at different kinematics in this two-dimensional space. The results can be used to improve models for neutrino interactions needed by neutrino oscillation experiments.

• Received 10 November 2021
• Accepted 5 July 2022

DOI:https://doi.org/10.1103/PhysRevD.106.032001

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Published by the American Physical Society